What is the Greatest Common Factor of 9020 and 9031?

Greatest common factor (GCF) of 9020 and 9031 is 11.

GCF(9020,9031) = 11

We will now calculate the prime factors of 9020 and 9031, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9020 and 9031.

How to find the GCF of 9020 and 9031?

We will first find the prime factorization of 9020 and 9031. After we will calculate the factors of 9020 and 9031 and find the biggest common factor number .

Step-1: Prime Factorization of 9020

Prime factors of 9020 are 2, 5, 11, 41. Prime factorization of 9020 in exponential form is:

9020 = 2² × 5¹ × 11¹ × 41¹

Step-2: Prime Factorization of 9031

Prime factors of 9031 are 11, 821. Prime factorization of 9031 in exponential form is:

9031 = 11¹ × 821¹

Step-3: Factors of 9020

List of positive integer factors of 9020 that divides 9020 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 41, 44, 55, 82, 110, 164, 205, 220, 410, 451, 820, 902, 1804, 2255, 4510

Step-4: Factors of 9031

List of positive integer factors of 9031 that divides 9020 without a remainder.

1, 11, 821

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9020 and 9031. The biggest common factor number is the GCF number.
So the greatest common factor 9020 and 9031 is 11.

Also check out the Least Common Multiple of 9020 and 9031